Linear isometrie/Space/Fixed point on football/Fact

< Linear isometrie < Space < Fixed point on football

At the beginning of a football game, the football lies in the center spot. After a goal is scored, the ball is again put in the center spot. In this situation, the following holds:

There exist at least two

(antipodal) points on the ball (its surface)

that are at the new kick-off exactly at the position where they were at the first kick-off. The total movement of the ball is a rotation around an axis.
Proof, Write another proof
This article is issued from Wikiversity. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.